Which equation represents a circle with a center at (2, - 8) and a radius of 11?

(x-2) ^2 + (y+8) ^2 = 11^2

Step-by-step explanation:

The standard equation of a circle with center at (h, k) and radius r is

(x-h) ^2 + (y-k) ^2 = r^2.

Filling in the given info, we get:

(x-2) ^2 + (y+8) ^2 = 11^2

(x-h) ^2 + (y-k) ^2 = r^2 is the equation for a circle centered at (h, k) and radius r

(x-2) ^2 + (y - (-8)) ^2 = 11^2

(x-2) ^2 + (y+8) ^2 = 11^2

Answer: (x-2) ^2 + (y+8) ^2 = 11^2